4166145400 has 48 divisors (see below), whose sum is σ = 9690551640. Its totient is φ = 1665724800.

The previous prime is 4166145383. The next prime is 4166145407. The reversal of 4166145400 is 45416614.

4166145400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166145407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 828895 + ... + 833905.

Almost surely, 2^4166145400 is an apocalyptic number.

4166145400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4166145400 is an abundant number, since it is smaller than the sum of its proper divisors (5524406240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4166145400 is a wasteful number, since it uses less digits than its factorization.

4166145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9184 (or 9175 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 4166145400 is about 64545.6845962610. The cubic root of 4166145400 is about 1609.0818678864.

The spelling of 4166145400 in words is "four billion, one hundred sixty-six million, one hundred forty-five thousand, four hundred".